7564134240 has 288 divisors, whose sum is σ = 28588865760. Its totient is φ = 1856867328.

The previous prime is 7564134229. The next prime is 7564134247. The reversal of 7564134240 is 424314657.

7564134240 is a `hidden beast` number, since 7 + 5 + 641 + 3 + 4 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×7564134240² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 7564134195 and 7564134204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7564134247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20610537 + ... + 20610903.

It is an arithmetic number, because the mean of its divisors is an integer number (99266895).

Almost surely, 2^7564134240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7564134240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14294432880).

7564134240 is an abundant number, since it is smaller than the sum of its proper divisors (21024731520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7564134240 is a wasteful number, since it uses less digits than its factorization.

7564134240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 7564134240 is about 86972.0313664111. The cubic root of 7564134240 is about 1962.9974821135.

Adding to 7564134240 its reverse (424314657), we get a palindrome (7988448897).

The spelling of 7564134240 in words is "seven billion, five hundred sixty-four million, one hundred thirty-four thousand, two hundred forty".